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基尔霍夫型耦合吊桥方程全局吸引子的存在性
引用本文:刘强强.基尔霍夫型耦合吊桥方程全局吸引子的存在性[J].西南师范大学学报(自然科学版),2020,45(3):27-33.
作者姓名:刘强强
作者单位:西北师范大学 数学与统计学院, 兰州 730070
基金项目:国家自然科学基金项目(11561064).
摘    要:研究了基尔霍夫型耦合吊桥方程解的长时间动力学行为,运用条件(C)的方法,获得了弱拓扑空间全局吸引子的存在性.

关 键 词:基尔霍夫型耦合吊桥方程  全局吸引子  有界吸收集
收稿时间:2019/5/10 0:00:00

On Existence of Exponential Attractors for Kirchhoff-Type Coupled Suspension Bridge Equations
LIU Qiang-qiang.On Existence of Exponential Attractors for Kirchhoff-Type Coupled Suspension Bridge Equations[J].Journal of Southwest China Normal University(Natural Science),2020,45(3):27-33.
Authors:LIU Qiang-qiang
Institution:College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Abstract:In this paper, the long-time dynamical behavior of Kirchhoff-type coupled suspension bridge equations has been studied. The asymptotic compactness of solution semigroup was first verified, then, the existence of exponential attractors for Kirchhoff-type coupled suspension bridge equations obtained by means of the so called enhanced flattening property, and some known results are improved and extended.
Keywords:Kirchhoff-type coupled suspension bridge equations  global attractor  bounded absorbing set
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